Superiorization: An optimization heuristic for medical physics
Por:
Herman G.T., Garduno, E, Davidi R., Censor Y.
Publicada:
1 sep 2012
Resumen:
Purpose: To describe and mathematically validate the superiorization methodology, which is a recently developed heuristic approach to optimization, and to discuss its applicability to medical physics problem formulations that specify the desired solution (of physically given or otherwise obtained constraints) by an optimization criterion. Methods: The superiorization methodology is presented as a heuristic solver for a large class of constrained optimization problems. The constraints come from the desire to produce a solution that is constraints-compatible, in the sense of meeting requirements provided by physically or otherwise obtained constraints. The underlying idea is that many iterative algorithms for finding such a solution are perturbation resilient in the sense that, even if certain kinds of changes are made at the end of each iterative step, the algorithm still produces a constraints-compatible solution. This property is exploited by using permitted changes to steer the algor
Filiaciones:
Herman G.T.:
Department of Computer Science, Graduate Center, City University of New York, New York, NY 10016, United States
Garduno, E:
Univ Nacl Autonoma Mexico, Dept Ciencias Computac, Inst Invest Matemat Aplicadas & Sistemas, Mexico City 04510, DF, Mexico
Davidi R.:
Department of Radiation Oncology, Stanford University, Stanford, CA 94305, United States
Censor Y.:
Department of Mathematics, University of Haifa, Mt. Carmel, 31905 Haifa, Israel
|